(a) To determine Find the value of initial voltage drop v ( 0 ) across the inductor for the given circuit. Explanation Given data: The current flowing through the inductor is, i g ( t ) = 0 , t < 0 i g ( t ) = 8 e − 300 t − 8 e − 1200 t A, t ≥ 0 (1) The inductor L is 4 mH . Formula used: Write the general expression for voltage drop across the terminals of the inductor is, v ( t ) = L d i g ( t ) d t (2) Calculation: Substitute equation (1) in equation (2) as follows, v ( t ) = L d ( 8 e − 300 t − 8 e − 1200 t ) d t Differentiating the above expression with respect to t as follows, v ( t ) = L [ ( − 300 ) 8 e − 300 t − ( − 1200 ) 8 e − 1200 t ] (b) To determine Find the instant of time at which the voltage across the inductor terminals is zero. (c) To determine Find the expression for the power delivered to the inductor. (d) To determine Calculate the instant at which the power delivered to the inductor is maximum. (e) To determine Find the maximum power delivered to the inductor in the given circuit. (f) To determine Find the instant of time at which the energy stored in the inductor is maximum. (g) To determine Calculate the maximum energy stored in the inductor.

10th Edition

ISBN: 9780133760033

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Question

Chapter 6.1, Problem 1AP

(a)

To determine

Find the value of initial voltage drop v(0) across the inductor for the given circuit.

(b)

To determine

Find the instant of time at which the voltage across the inductor terminals is zero.

(c)

To determine

Find the expression for the power delivered to the inductor.

(d)

To determine

Calculate the instant at which the power delivered to the inductor is maximum.

(e)

To determine

Find the maximum power delivered to the inductor in the given circuit.

(f)

To determine

Find the instant of time at which the energy stored in the inductor is maximum.

(g)

To determine

Calculate the maximum energy stored in the inductor.

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15:31

Chapter 5, Problem 53P

Chapter 6.2, Problem 2AP

Chapter 6 Solutions

Electric Circuits (10th Edition)

Ch. 6.1 - The current source in the circuit shown generates...Ch. 6.2 - Prob. 2AP Ch. 6.2 - The current in the capacitor of Assessment Problem...Ch. 6.3 - The initial values of i1 and i2 in the circuit...Ch. 6.3 - Prob. 5AP Ch. 6.4 - Write a set of mesh-current equations for the...Ch. 6 - Prob. 2P Ch. 6 - Prob. 3P Ch. 6 - The current in a 200 mH inductor is The voltage...Ch. 6 - Evaluate the integral for Example 6.2. Comment on...

Ch. 6 - Prob. 7P Ch. 6 - Prob. 8P Ch. 6 - Prob. 9P Ch. 6 - Initially there was no energy stored in the 5 H...Ch. 6 - The voltage across a 5 μF capacitor is known to...Ch. 6 - The triangular voltage pulse shown in Fig. P6.15...Ch. 6 - Prob. 16P Ch. 6 - The expressions for voltage, power, and energy...Ch. 6 - The initial voltage on the 0.5 μF capacitor shown...Ch. 6 - Prob. 21P Ch. 6 - Use realistic inductor values from Appendix H to...Ch. 6 - Prob. 24P Ch. 6 - For the circuit shown in Fig. P6.24, how many...Ch. 6 - Prob. 27P Ch. 6 - Use realistic capacitor values from Appendix H to...Ch. 6 - Derive the equivalent circuit for a series...Ch. 6 - Derive the equivalent circuit for a parallel...Ch. 6 - Prob. 31P Ch. 6 - The four capacitors in the circuit in Fig, P6.32...Ch. 6 - For the circuit in Fig. P6.32, calculate the...Ch. 6 - Prob. 34P Ch. 6 - Prob. 35P Ch. 6 - Show that the differential equations derived in...Ch. 6 - Prob. 37P Ch. 6 - Let υg represent the voltage across the current...Ch. 6 - Prob. 39P Ch. 6 - Prob. 40P Ch. 6 - Prob. 41P Ch. 6 - Prob. 42P Ch. 6 - Prob. 44P Ch. 6 - Prob. 45P Ch. 6 - Prob. 46P Ch. 6 - Prob. 47P Ch. 6 - Prob. 48P Ch. 6 - Prob. 49P Ch. 6 - The self-inductances of two magnetically coupled...Ch. 6 - Prob. 51P Ch. 6 - Prob. 52P Ch. 6 - Prob. 53P

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